Finding the Third Proportional to 37,834 and 81,364

Step by Step Solution

1. Step 1: Write the proportion equation
   37,834 : 81,364 = 81,364 : x
2. Step 2: Convert to fraction form
   37,834/81,364 = 81,364/x
3. Step 3: Cross multiply
   37,834x = 81,364 × 81,364
4. Step 4: Simplify right side
   37,834x = 6,620,100,496
5. Step 5: Solve for x
   x = 6,620,100,496/37,834
6. Step 6: Final answer
   x = 174,977.55